Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Anne Quéguiner-Mathieu"'
Publikováno v:
Oberwolfach Reports. 15:1235-1291
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e554bbc086dfc743e415b5e953ebb90f
https://doi.org/10.4171/owr/2018/21
https://doi.org/10.4171/owr/2018/21
Publikováno v:
Pacific Journal of Mathematics, Vol. 304, no.1, p. 169-180 (2020)
A theorem of Pfister asserts that every $12$-dimensional quadratic form with trivial discriminant and trivial Clifford invariant over a field of characteristic different from $2$ decomposes as a tensor product of a binary quadratic form and a $6$-dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5fbb32c21e0d20fe4093b70517b3df8
https://hdl.handle.net/2078.1/226080
https://hdl.handle.net/2078.1/226080
Publikováno v:
Advances in Mathematics. 336:455-476
An orthogonal involution σ on a central simple algebra A, after scalar extension to the function field F ( A ) of the Severi–Brauer variety of A, is adjoint to a quadratic form q σ over F ( A ) , which is uniquely defined up to a scalar factor. S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87b0c8690694e0cb9695070421f61575
https://doi.org/10.1016/j.aim.2018.07.030
https://doi.org/10.1016/j.aim.2018.07.030
Autor:
Andrew Dolphin, Anne Quéguiner-Mathieu
Publikováno v:
Israel journal of mathematics
We define a canonical quadratic pair on the Clifford algebra of an algebra with quadratic pair over a field. This allows us to extend to the characteristic 2 case the notion of trialitarian triples, from which we derive a characterization of totally
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5de57e7775e667c96c86a35b55a46da6
http://arxiv.org/abs/1905.12526
http://arxiv.org/abs/1905.12526
Motivic equivalence for algebraic groups was recently introduced by De Clercq [Compos. Math. 153 (2017), pp. 2195–2213], where a characterization of motivic equivalent groups in terms of higher Tits indexes is given. As a consequence, if the quadri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfff7de521616c8a1247256162406156
http://arxiv.org/abs/1802.03857
http://arxiv.org/abs/1802.03857
Autor:
Anne Quéguiner-Mathieu, Andrew Dolphin
Publikováno v:
Journal of pure and applied algebra
In this paper we study symplectic involutions and quadratic pairs that become hyperbolic over the function field of a conic. In particular, we classify them in degree 4 and deduce results on 5 dimensional minimal quadratic forms, thus extending to ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f853688bdff894ddbd139cf48089d13
https://hdl.handle.net/10067/1436360151162165141
https://hdl.handle.net/10067/1436360151162165141
The so-called Tits class, associated to an adjoint absolutely almost simple algebraic group, provides a cohomological obstruction for this group to admit an outer automorphism. If the group has inner type, this obstruction is the only one. In this pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb99851856756d963db84bd606ab6438
http://arxiv.org/abs/1610.05081
http://arxiv.org/abs/1610.05081
Autor:
Philippe Gille, Anne Quéguiner-Mathieu
Publikováno v:
Algebra Number Theory 5, no. 1 (2011), 1-35
On donne une formule exacte pour l’invariant de Rost [math] des groupes linéaires spéciaux. ¶ We provide an exact formula for the Rost invariant [math] of special linear groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec240bf4c5a18f75e11f859c7af54418
https://doi.org/10.2140/ant.2011.5.1
https://doi.org/10.2140/ant.2011.5.1
Publikováno v:
Israel Journal of Mathematics. 180:317-344
We study central simple algebras with involution of the first kind that become hyperbolic over the function field of the conic associated to a given quaternion algebra Q. We classify these algebras in degree 4 and give an example of such a division a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a04033ed4f92a1701edfff5760d4bb5
https://doi.org/10.1007/s11856-010-0106-x
https://doi.org/10.1007/s11856-010-0106-x
Publikováno v:
A Collection of Manuscripts Written in Honour of Alexander S. Merkurjev on the Occasion of His Sixtieth Birthday ISBN: 9783936609615
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::670f72b6cb663106b6e60fa718c13a54
https://doi.org/10.4171/dms/7/23
https://doi.org/10.4171/dms/7/23